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Finding the Fourth Proportional to 3,404.70, 5,100.78 and 2,169.51

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Solution

The fourth proportional to 3,404.70, 5,100.78 and 2,169.51 is: 3,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.70 : 5,100.78 = 2,169.51 : x
  2. Step 2: Convert to fraction form
    3,404.70/5,100.78 = 2,169.51/x
  3. Step 3: Cross multiply
    3,404.70x = 5,100.78 × 2,169.51
  4. Step 4: Simplify right side
    3,404.70x = 11,066,193.22
  5. Step 5: Solve for x
    x = 11,066,193.22/3,404.70
  6. Step 6: Final answer
    x = 3,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.